Answer:
x = 3
Step-by-step explanation:
First, you will pick the first equation :
(x*20)
Then the next,
(x*20) + 5
Then the last equation,
(x*20) + 5 = 5*13
Then you solve
20x + 5 = 65
20x = 65 - 5
20x = 60
20x/20 = 60/20
x = 3
I really need help like fast please
Answer: I'm pretty sure the measure is 122 degrees
Step-by-step explanation:
1. Daniel needs to add a fence around the apartment swimming pool. The pool is 25 ft. by 20 ft., and the owner wants the fence to be 4 feet from the poolside. How many feet of fencing will Daniel need? (1) 45 (2) 90 (3) 98 (4) 106 (5) 122
Answer:
(5) 122 feet
Step-by-step explanation:
Perimeter of fencing:
[tex]2((25 + 4 + 4) + (20 + 4 + 4))[/tex]
[tex]2(33 + 28) = 2(61) = 122[/tex]
PLEASE HELP QUICKLY
The graph shows the relationship between the number of female eastern bluebirds observed by a biologist and the total number of eggs laid. Complete the given equation to show the relationship between b, the number of female eastern bluebirds observed, and t, the total number of eggs laid
The equation that models the number of female eastern bluebirds observed, b, and t, the total number of eggs laid is t = 5b
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
Let we take:
b = the number of female eastern bluebirds observed
t = the total number of eggs laid
Since the relationship between b and t is forming a line, so it can be modeled by linear equation.
Here, we take 'b' as independent variable, and the value of 't' depending on the value of 'b', and therefore, let the linear equation representing them is:
[tex]t = mb + c[/tex]
For this case, we see that as the number of female eastern bluebird is increased by 1, half of 10 units (which is 5 units) is increased in the total number of eggs laid.
Thus, as we increase 'b' by 1 unit, there is increase by 5 units in the value of 't'.
and therefore, we get: m = increment in dependent variable per unit increment in independent variable = 5
Thus, the equation is:
[tex]t = 5b + c[/tex]
At b = 1, the number of eggs laid is 5, or t = 5, therefore, putting these values in the equation, we get:
[tex]5 = 5(1) = c\\c = 5-5=0[/tex]
Thus, the relation between t and b is t = 5b + 0= 5b
Thus, the equation that models the number of female eastern bluebirds observed, b, and t, the total number of eggs laid is t = 5b
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Find the equation of an exponential function of the form y = ab^x that passes through the points (3,13.5) and (5,30.375).
Let's see
y=ab^xCheck coordinates
13.5=ab³-(1)Find a
a=13.5/b³---(2)And
30.375=ab⁵Put value from second one
30.375=13.5b⁵/b³30.375=13.5b²b²=2.25b=1.5Put in second one
a=13.5/b³a=13.5/1.5³a=13.5÷3.375a=4So the equation is
y=4(1.5)^xAnswer:
[tex]y=4(1.5)^x[/tex]
Step-by-step explanation:
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
Given ordered pairs:
(3, 13.5) and (5, 30.375)
As the y-values are increasing, the function is increasing, so b > 1
Input the given ordered pairs into the general form of the equation:
[tex]\implies ab^3=13.5[/tex]
[tex]\implies ab^5=30.375[/tex]
To find b, divide the second equation by the first:
[tex]\implies \dfrac{ab^5}{ab^3}=\dfrac{30.375}{13.5}[/tex]
[tex]\implies b^2=2.25[/tex]
[tex]\implies b=\pm \sqrt{2.25}[/tex]
[tex]\implies b= \pm 1.5[/tex]
As the function is increasing, b > 1:
⇒ b = 1.5 only
Substitute the found value of b into one of the equations and solve for a:
[tex]\implies a(1.5)^3=13.5[/tex]
[tex]\implies 3.375a=13.5[/tex]
[tex]\implies a=\dfrac{13.5}{3.375}[/tex]
[tex]\implies a=4[/tex]
Therefore, the final exponential equation is:
[tex]y=4(1.5)^x[/tex]
What is the slope of the line that passes through the points (6,2) and (-18, 2)?
Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
(x,y) slope is change in y / change in x⇒ Δy/Δx
(6,2)
(-18,2)
Δy = 2-2 = 0
Δx = 6-(-18) = 24
because the y values are the same, when you subtract you a slope of 0/24 or just 0 a horizontal line (because y is always =2)
ILL GIVE BRAINELST
If the area of C is
400 ft2 and the
perimeter of B is 64 ft,
what is the side length
of square A?
Answer:
A = 12 ft
Step-by-step explanation:
Perimeter ( of SQUARE) B = 64
then each side = 64/4 = 16
AREA of SQUARE C = 400
side X side = 400
then side = sqrt 400
Now use Pyhtagorean Theorem to find leg of right triangle that is
side A Side B hypotenuse Side C
A^2 + 16^2 = (sqrt 400)^2
A^2 = 400 - 256
A^2 = 144 then A = 12 Ft
Countries that do not have enough resources to meet the needs of their population are said to be suffering from what?
A. Overpopulation
B. Urbanization
C. Pollution
D. Industrialization
Answer:
D. Industrialization cause of poverty.
7 copper spheres with radii of 4
inches are melted and formed into a
cube. How tall is the cube?
We will see that the cube must be 10.23 inches tall.
How tall is the cube?
The volume of the cube must be equal to the volume of the 4 spheres. Remember that the volume of a sphere of radius R is:
V = (4/3)*3.14*R^3
In this case, the radius is 4 inches, so we can write:
V = (4/3)*3.14*(4 in)^3 = 267.95 in^3
Then the volume of the 4 spheres is:
4*267.95 in^3 = 1,071.79 in^3
The volume of a cube of side length S is given by:
V = S^3
Then we must have:
S^3 = 1,071.79 in^3
S = ∛(1,071.79 in^3) = 10.23 in
We conclude that the cube is 10.23 inches tall.
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Find the measures of angles 1 and 2. If necessary, round to the tenths place. Hint: Do not assume that Point D is the center of the circle. A. mZ1 = 20° m2 = 20° B. m2 = 40° m2 = 140° C. ml = 82.5° mZ2 = 97.50 D. m1 = 97.5° m2 = 82.5°
Answer:
C. m<1 = 82.5 m<2 = 97.5
Step-by-step explanation:
Pls help I need it quickly thanks
Answer:
56n thats what ben said
Step-by-step explanation:
hohoho corent answer
A pet store has 150
150
goldfish and betta fish altogether.
The ratio of goldfish to betta fish is 2:3
2:3
.
How many goldfish does the pet store have?
CLEAR CHECK
What fraction of the fish are goldfish?
How many goldfish does the pet store have? goldfish
Answer:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEStep-by-step explanation:
Let the goldfish be G.
• Let the betta fish be B.
Given the following data:
• Total number of fishes = 150 fishes.
• Ratio of G to B = 2:3
• Total ratio= 2 + 3 = 5
To calculate the number of goldfish that the pet store have:
What is ratio?
Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
Mathematically, the number of goldfish in the pet store is given by this expression:
2 G = x 150 5
G = 0.4 x 150
G = 60 fishes.
Help me asap …………..p
Answer:
1.) Tan C = [tex]\frac{12}{5}[/tex]
2.) Sin Z = [tex]\frac{24}{26}[/tex] or [tex]\frac{12}{13}[/tex] if reduced
3.) Cos A = [tex]\frac{15}{17}[/tex]
4.) Cos A = [tex]\frac{12}{37}[/tex]
Step-by-step explanation:
Let's keep in mind that;
Sin = [tex]\frac{opposite}{hypotenuse}[/tex]
Cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tan = [tex]\frac{opposite}{adjacent}[/tex]
Hope this helps!
Question 10
Graph g(x) =
Y
<
- 4(x - 2)² + 4.
10-9-8-7 -6 -5 -4 -3 -2 -1
-2
-3
-4
-5
-6
-7
-8
-9
10
Clear All Draw:
ZAV
Question Help: Video
Add Work
>
10+
9
8
7-
6
S
4
3
2
21
1 2 3 4 5 6 7 8 9 10
Answer:
2?
Step-by-step explanation:
What is the value of(-4)(-4)(-4)
Answer:
-64
Step-by-step explanation:
-4x-4x-4
The product of the ages of a man and his son is 160. In four years time, the man will be four times as old as his son. Find their ages.
Answer:
father = 32 s = 5 y/o
Step-by-step explanation:
f s = 160 ====> s = 160/f
f+4 = 4 ( s+4)
f + 4 = 4 (160/f +4)
f + 4 = 640/f + 16
f^2 + 4f = 640 + 16 f
f^2 -12f - 640 = 0 Use Quadratic formula to find f = 32 then s = 5
Find the next two terms in this sequence.
1,2,6,24,120, [??],[??]
Answer:
720, 5040
Step-by-step explanation:
It's always times plus 1. So,
1 x 2 = 2
2 x 3 = 6
6 x 4 = 24
24 x 5 = 120
120 x 6 = 720
720 x 7 = 5040
How to solve 8x+y=23
-10x-y=-27
Here,
8x + y = 23 - 10x - y = - 27
10(8x + y) = 23 × 10 8 (- 10x - y) = - 27 × 8
80x + 10y = 230 ---> (i) - 80x - 8y = - 216 ----> (ii)
By elimination method,Equation (i) - (ii)(80x + 10y) - (-80x - 8y) = 230 - (-216)
=> 80x + 10y + 80x + 8y = 230 + 216
=> 10y + 8y = 446
=> 18y = 446
=> y = 446/18
=> y = 24.7
Putting the value of "y" in Equation (i)80x + 10y = 230
=> 80x + 10 × 24.7 = 230
=> 80x + 247 = 230
=> 80x = 230 - 247
=> 80x = -17
=> x = -17/80
=> x = - 0.21
Therefore the values of "x" and "y" arex = -0.21 and y = 24.7
Hope it helpsHHHHHHEEELLLLPPP MMMEEE
Given the system of linear equations:
{y= -5 y=3x -2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from Part B.
QUESTION 1
the solution is (-1,-5)
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
-y=5
y=3x-2
0=3x+3
3x=-3
x=-3/3
x=-1
Then, we use this value to find the other one
y=3x-2
y=3(-1)-2
y=-3-2
y=-5
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
x+6y=6
-6y=-2x+12
x=-2x+18
x+2x=18
x=18/3
x=6
Then, we use this value to find the other one
x+6y=6
6+6y=6
6y=6-6
y=0/6
y=6
Therefore, the solution is (6,0),
Choose the factor pairs of 25.
1 and 25, 3 and 10, 5 and 6
1 and 25, 3 and 9
1 and 25, 2 and 11
1 and 25, 5 and 5
Answer:
1 and 25, 5 and 5
Step-by-step explanation:
because both 5×5=25 and 1×25=25 and 1×5=5 are all equal factor pairs of 25.
Pls help me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
A couch went on a 16% off sale. The sale price is given as $1008. What was the original price of the couch?
Answer:
1200 dollars
Step-by-step explanation:
x-0.16x=1008
.84x=1008
x=1200 dollars
Which series of transformations occurred to move the blue figure to the red figure? a translation and then a reflection
a reflection and then a 180-degree rotation about the origin
a 90-degree rotation counterclockwise about the origin and then a reflection
a reflection and then a reflection
Answer:
A translation and then a reflection
Step-by-step explanation:
A translation of 5 to the left, and then a a reflection across the x axis.
[tex] \large \red{\frak{ Question}}[/tex]
The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000. The difference of their salaries is ₹2000. If B’s salary is less than that of A, then what is the salary of B (in ₹)?
(a) 8000 (b) 2000
(c) 6000 (d) 12,000
[tex] \pink{ \dag \: \large\sf{ With \: Explanation }}[/tex]
[tex] \blue{ \dag \: \large\sf{No Spam }}[/tex]
Answer:
[tex] \sf \: \fbox{Option C) \: The salary of B is 6000₹}[/tex]
Step-by-step explanation:
Let the salary or A is x and salary of B is y.
now,
Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.
writing above statement in equation form,
[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000[/tex]
Multiplying above equation with twelve,
[tex] \sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1[/tex]
and condition two,
The difference of their salaries is ₹2000
[tex] \sf \: x - y = 2000[/tex]
Multiplying above equation with 20
[tex] \sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2[/tex]
On adding equation 1 and equation 2,
[tex] \sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}[/tex]
Substituting the value of x in,
[tex] \sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}[/tex]
[tex] \sf \: \fbox{The salary of B is 6000₹}[/tex]
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HELP
The ceiling of Joey's living room is a square that is 22 ft long on each side. Joey knows the diagonal of the ceiling from corner to corner must be longer than 22 ft.
(a) he thinks that because a square cut and half forms a special right triangle the diagonal as the hypotenuse so he multiplies the side by 2 to get 44 ft what is Joey's mistake
(b) what is the correct length of the diagonal in Joey ceiling used to correct the special right triangles shortcut (give exact answer no rounding)
(c) used either the pythagorean theorem or the correct trigonometry ratios to solve for the length of the diagonal ( round to nearest tenth of a foot )
make sure to show all your work
I will report if you comment something random to just get points
Answer:
The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Let d represent the length of the diagonal, Usinng Pythagoras:
d² = 22² + 22²
d = 31 feet
Using trigonometric identity:
sin(45) = 22/d
d = 31 feet
The length of the diagonal of Stacy's ceiling was found to be 31 feet using both Pythagorean theorem and trigonometry.
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Step-by-step explanation:
Luis has a bag that contains strawberry chews, apple chews, and peach chews. He performs an experiment. Luis randomly removes a chew from the bag, records the result, and returns the chew to the bag. Luis performs the experiment 37 times. The results are shown below:
A strawberry chew was selected 8 times.
A apple chew was selected 14 times.
A peach chew was selected 15 times.
Based on these results, express the probability that the next chew Luis removes from the bag will be a flavor other than strawberry as a fraction in simplest form.
The probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The number of times the experiment was done is 37 (15+14+8). The number of times apple chew came as a result of the experiment is 14, while the number of times peach chew came as a result of the experiment is 15. Therefore, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is
[tex]\rm Probability = \dfrac{\text{Number of times apple chew or peach chew was selected}}{\text{Total number of times experiment was performed}}\\\\\\Probability = \dfrac{14+15}{37} = \dfrac{29}{37}[/tex]
Hence, the probability that the next chew Luis removes from the bag will be a flavour other than strawberry as a fraction in simplest form is (29/37).
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The mark up price of a pair of shoes which costs $245.00 is 5.75%. a)What is the final price? If the tax is 5 3/4 % How much will be paid for that pair of shoes?
The mark up price of the shoe would increase the final price
The final price of the shoe is $259.0875The final price of the shoe after tax is $273.98503125The final price of the shoeThe given parameters are:
Cost = $245.00Mark up price = 5.75%The final price is calculated using:
Final = Cost * (1 + Mark up)
This gives
Final = 245* (1 + 5.75%)
Evaluate
Final = 259.0875
Hence, the final price of the shoe is $259.0875
The final price of the shoe, after taxIn (a), we have:
Final = 259.0875
Given that the tax is 5 3/4%, the final price after tax would be
After tax = Final * (1 + Tax)
So, we have:
After tax = 259.0875 * (1 + 5 3/4%)
Evaluate
After tax = 273.98503125
Hence, the final price of the shoe after tax is $273.98503125
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Solve for X:
Use the side-splitting theorem to solve for x.
If necessary, round your answer to the nearest tenth.
Answer:
x=13
Step-by-step explanation:
Side Splitter Theorem states that If a line is parallel to one side of a triangle and intersects the other two sides, it divides both sides proportionally.
21/14 =1.5
6x1.5 = 9
x-4=9
x=13
Given the circle below with the secant FED and tangent CD, find the length of FE. Round to the nearest tenth if necessary.
The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units
How to determine the length FE?The lengths are given as:
DE = 12 unitsCD = 16 unitsStart calculating the length DF using:
DE * DF = CD²
So, we have:
12 * DF = 16²
Evaluate the exponent
12 * DF = 256
Divide both sides by 12
DF = 21.3
The length FE is then calculated using:
DF = FE + DE
Substitute DE = 12 and DF = 21.3
21.3 = FE + 12
Subtract 12 from both sides
FE = 21.3 - 12
Evaluate the difference
FE = 9.3
Hence, the length of FE in the circle is 9.3 units
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Tea Off served a total of 7,330 cups of chamomile tea to its customers last year. This year, the number
of served was 10% lower. How many cups of chamomile tea did the care serve this year?
Answer:
6,597 cups
Step-by-step explanation:
y=0.9x x=7,330 7,330 x 0.9= 6,597
HHHHHHHHHHHHHEEEELLLLLPPP MEEEEEE
After x-2y=8 is put in slope-intercept form, what are the slope and y-intercept?
A. m= -1/2 and b= 4
B. m= -2 and b= 8
C. m= 1/2 and b= -4
D. m= 2 and b= -8
Answer:
C. m=1/2 and b=-4
Step-by-step explanation:
To get the slope-intercept notation, you have to convert Ax+By = C to y = mx + b. We can do that by simply moving y to the left side and the rest to the right, or simply use the formula of m = -A/B, b = C/B
We'll do both, they're the same really.
x-2y=8
x-8=2y
2y=x - 8
y = 1/2*x - 4
Alternatively
x-2y=8
A = 1
B = -2
C = 8
m = -(1/-2) = 1/2
b = 8/-2 = -4